Exponents

Front

What is exponential form?

Back

Exponential form is a way of expressing repeated multiplication of the same number using a base and an exponent. For example, 7 x 7 x 7 can be written as 7^3.

Front

How do you convert a multiplication expression into exponential form?

Back

To convert a multiplication expression into exponential form, count the number of times the base is multiplied by itself and write it as base raised to the power of that count.

Front

What is the base in an exponential expression?

Back

The base is the number that is being multiplied in an exponential expression. For example, in 5^3, the base is 5.

Front

What is the exponent in an exponential expression?

Back

The exponent indicates how many times the base is multiplied by itself. In 5^3, the exponent is 3.

Front

What is expanded form?

Back

Expanded form is a way of writing a number as the sum of its parts or as repeated multiplication. For example, 5^3 can be written in expanded form as 5 x 5 x 5.

Front

What is standard form?

Back

Standard form is the usual way of writing numbers using digits. For example, the number 25 is in standard form.

Front

What is the relationship between expanded form and exponential form?

Back

Expanded form shows the multiplication of the base, while exponential form condenses that multiplication into a base and an exponent. For example, 5 x 5 x 5 (expanded form) is the same as 5^3 (exponential form).

Front

What does 5^3 equal?

Back

5^3 equals 125, as it represents 5 x 5 x 5.

Front

What is the purpose of using exponential notation?

Back

Exponential notation simplifies the representation of large numbers and makes calculations easier by reducing the amount of writing needed.

Front

How do you identify exponential form from a list of expressions?

Back

Exponential form can be identified by looking for expressions that have a base and an exponent, such as 2^4 or 10^2.